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11-10-2018
Mathematics

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B is the midpoint of AC. If AB = 3x + 2 and BC = 5x - 10, find AC

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11-10-2018

If B is the midpoint of AC, then |AB| = |AC|.

|AB| = 3x + 2

|BC| = 5x - 10

Therefore we have the equation:

3x + 2 = 5x - 10 |subtract 2 from both sides

3x = 5x - 12 |subtract 5x from both sides

-2x = -12 |divide both sides by (-2)

x = 6

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